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# MTH302 Business Mathematic & Statistics Quiz No.4 Solved July 11, 2012

MTH302  Business Mathematic & Statistics Quiz No.4  Solved July 11, 2012

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MTH302 – Business Mathematic & Statistics

Quiz No.4  July 11, 2012

Which of the following formula is correct?

Select correct option:

=BINOMDIST( 7, 4, 0.5, FALSE )
=BINOMDIST( -4, 7, 1.5, FALSE )
=BINOMDIST( 4, -7, 1.5, FALSE ) (Right Answer)

=BINOMDIST( 4, 7, 0.5, FALSE )

Attendance in a factory shows 7 absences. What is probability that on a given day there will be more than 8 people absent?

Select correct option:

0.184

0.5

None of these.

Formulation for Poisson distribution i-e "POISSON(x,mean,cumulative)" is truncated if ‘x’ is

Select correct option:

Integer

Integer but expected numeric value
Integer but non-expected value

In Binomial distribution, the outcome on one trial ………… the outcome on other trials.

Select correct option:

Does affect
May affect
None of these

The mean of a Poisson distribution is 5 while its standard deviation is 4.then what option is correct about this statement.

Select correct option:

In some cases this result is possible.

Mean should be always less than standard deviation .  (Right Answer)

Mean and standard deviation are always equal.
Only option 1 & 3.

In binomial distribution, the experiment is repeated for
Select correct option:

Variable number of times
Fixed number of times  (Right Answer)
Many number of times
None of these

Which of the following is NOT applicable to a Poisson Distribution? Select correct option:

It is used to compute the probability of rare events.

Every event is independent of every other event.

The range for the number of events that could occur is 0,1,2,3, ... (Right Answer)

Every event is dependent of every other event.

The successive binomial trials are assumed to be
Select correct option:

Dependent

May be independent
None of these

Probability distribution is a set of possible values that a random variable can assume and their associated probabilities of occurrence.
Select correct option:

False

In negative binomial distribution, the probability of success, p Select correct option:

Remains the same on every trial

Remains constant for different outcomes

Change on every trial (Right Answer)

None of these

The sum of all probabilties for any poisson density function is always ___ . Select correct option:

0

2

None of these.

The number of telephone calls that pass through a switchboard has a Poisson distribution with mean equal to 2 per minute. The probability that no telephone calls pass through the switch board in two consecutive minutes is:
Select correct option:

0.2707

0.0517

0.1353

If the mean & standard deviation on an examination are ‘74’ & ‘12’ respectively
and the grades ‘x=74’ then the scores (z) in standard units of students receiving
are

Select correct option:

0.8378

-0.8378

0

A pair of fair die is rolled. What will be the probability of “Sum of dots on upper sides is odd number?

Select correct option:

15/36
10/36

None of these

In binomial distribution, the experiment is repeated for
Select correct option:

Variable number of times
Fixed number of times (Right Answer)
Many number of times
None of these

The probability of "success" p is equals to

Select correct option:

q

1+q

None of these

The successive negative binomial trials are assumed to be Select correct option:

Dependent

May be independent
None of these

Probability of occurrence of an event A = ------ (Where X=Number of outcomes favorable to event A and n=total number of outcomes)

Select correct option:

nX

n/X

None of these

Which of the following formula is correct?

Select correct option:

=BINOMDIST( 7, 4, 0.5, FALSE )
=BINOMDIST( -4, 7, 1.5, FALSE )
=BINOMDIST( 4, -7, 1.5, FALSE ) (Right Answer)
=BINOMDIST( 4, 7, 0.5, FALSE )

The Excel command “=BINOMDIST( 4, 10, 2, FALSE)” gives an error of #NUM. The reason is that the probability of successes is 2 which is wrong. The
probability of successes cannot be greater than 1.

Select correct option:

False

Probability of occurrence of an event A = ------ (Where X=Number of outcomes favorable to event A and n=total number of outcomes)

Select correct option:

nX

n/X

None of these

What is probabilty of r or more successes when m=7;r=9 Select correct option:

0.184

0.5

None of these

The probability of successes can be less than 0 or greater than 1. Select correct option:

True

In Binomial distribution, the outcome on one trial ………… the outcome on other trials.

Select correct option:

Does affect
May affect
None of these

This formula “=BINOMDIST( 3, 6, 0.5, TRUE )” is for Cumulative Bionomial distribution.

Select correct option:

False

Which of the following can be best fit for the prediction of the vehicles arriving at their destination in 2 hours?

Select correct option:

Normal Distribution
Poisson Distribution
Chi-Square Distribution

Suppose, you have a bag in which there are one green and one red ball. You  take out a ball repeatedly and put it back into the bag, and you count the number of times the green ball comes out. You continue to take out the ball until the  green ball comes out 3 times. This experiment shows the case of Negative
Binomial Distribution. Select correct option:

True

The Excel command CRITBINOM(trials,p,alpha) where n is the number of trials, p is the probability of success in trials, and alpha is the criterion value. If trials < 0 , then CRITBINOM returns #NUM! error.

Select correct option:

True

In the excel formulation for Poisson distribution i-e

"POISSON(x,mean,cumulative)", if X<0 then it returns to Select correct option:

FALSE

#VALUE!
#NUM!

Probability of sure event is ------

Select correct option:

0

1

-1

In binomial distribution, each observation represents

Select correct option:

One of two outcomes ("success" or "failure")(Right Answer)

Only one outcome ("success")

Only one outcome ("failure")

None of these

A pair of fair die is rolled. What will be the probability of “Sum of dots on upper

sides is odd number?

Select correct option:

15/36

10/36

None of these

The Excel command CRITBINOM(trials,p,alpha) where n is the number of trials, p

is the probability of success in trials, and alpha is the criterion value. If trials < 0 ,

then CRITBINOM returns #NUM! error.

Select correct option:

False

Suppose, you have a bag in which there are one green and one red ball. You take out a ball repeatedly and put it back into the bag, and you count the number of times the green ball comes out. You continue to take out the ball until the green ball comes out 3 times. This experiment shows the case of Negative Binomial Distribution. Select correct option:

True

A fair die is rolled. What will be the probability of even numbers?

Select correct option:

1/6

2/6

None of these

Question # 9 of 10 ( Start time: 07:08:31 PM) Total Marks: 1

An automatic production line breaks down every 2 hours.Special production requires uninterrupted operation for 8 hours.What is the probabilty that this can be achieved.

Select correct option:

0.312

0.021

None of these.

Question # 10 of 10 ( Start time: 07:10:01 PM) Total Marks: 1

Significant birth defects occur at a rate of about 4 per 1000 births in human populations. Which type of distribution can better deal with the above mentioned case?

Select correct option:

Normal Distribution.

Poisson Distribution.

None of the above.

In binomial distribution, the experiment is repeated for

Select correct option:

Variable number of times

Fixed number of times Right Answer)

Many number of times

None of these

Which of the following can be best fit for the prediction of the vehicles arriving at

their destination in 2 hours?

Select correct option:

Normal Distribution

Poisson Distribution

Chi-Square Distribution

The successive negative binomial trials are assumed to be

Dependent

May be independent

None of these

In the excel formulation for Poisson distribution i-e

"POISSON(x,mean,cumulative)", if X<0 then it returns to

Select correct option:

TRUE

FALSE

#VALUE!

Formulation for Poisson distribution i-e "POISSON(x,mean,cumulative)" is

truncated if ‘x’ is

Select correct option:

Integer

Integer but expected numeric value

Integer but non-expected value

A lottery has Rs.100 payout on average 20 turns.What will be expected win per

turn.

Select correct option:

Rs. -5

Rs.3

None of these.

If the mean & standard deviation on an examination are ‘74’ & ‘12’ respectively and the grades ‘x=74’ then the scores (z) in standard units of students receiving are

0.8378

-0.8378

0

What is not a characteristic of poisson distribution.

Select correct option:

Either/or situation.

mean number of successes per unit,m,known and fixed.

p,chance unknown and large Right Answer)

None of these

An automatic packing machine produces on an average one in 100 underweight bags. What is the probabilty that 500 bags contain less than three underweight bags?

Select correct option:

0.018

0.312

None of these.

During a typical football game, a coach can expect 3.2 injuries. Find the probability that the team will have at most 1 injury in this game.We are interested in

Select correct option:

P(X<1 )

P(X=1 )

P(X=0 ) + P(X=1 )

The probability of "success" p is equals to

Select correct option:

q

1+q

None of these

Which of the following can be best fit for the prediction of the vehicles arriving at their destination in 2 hours?

Select correct option:

Normal Distribution

Poisson Distribution

Chi-Square Distribution

Probability of occurrence of an event A = ------ (Where X=Number of outcomes favorable to event A and n=total number of outcomes)

Select correct option:

nX

n/X

None of these

If the mean & standard deviation on an examination are ‘74’ & ‘12’ respectively and the standard scores is ‘z= -1’ then the grade ‘x’ is Select correct option:

-62

889

62

In Binomial distribution, the outcome on one trial ………… the outcome on other trials.

Select correct option:

Does affect

May affect

None of these

The marketing manager of a company receives average10 complaint calls during a week .Suppose that the number of calls during a week follows the Poisson distribution. The probability that she gets five such calls in one day is:

Select correct option:

1-(10^5e^-10)/5!

10C5 * 0.55 * 0.55

1 - 10C5 * 0.55 * 0.55

Poisson probabilty density function has __ parameter(s)

Select correct option:

0

1

None of these.

The Excel command “=BINOMDIST( 4, 10, 2, FALSE)” gives an error of #NUM. The reason is that the probability of successes is 2 which is wrong. The probability of successes cannot be greater than 1.

Select correct option:

False

In binomial distribution, each observation represents

Select correct option:

One of two outcomes ("success" or "failure") Right Answer)

Only one outcome ("success")

Only one outcome ("failure")

None of these

Poisson probabilty density function has __ parameter(s)

Select correct option:

0

1

None of these.

The Excel command CRITBINOM(trials,p,alpha) where n is the number of trials, p is the probability of success in trials, and alpha is the criterion value. If trials < 0 , then CRITBINOM returns #NUM! error.

Select correct option:

False

In the normal distribution curve, peak of the bell-shaped curve gives

Select correct option:

Variance

Mean

Frequency

12% of the electric bulbs manufactured by a company are defective. What is the probability that a bulb selected will not be defective?

Select correct option:

90%

80%

85%

A lottery has Rs.100 payout on average 20 turns.What will be expected win per

turn.

Select correct option:

Rs. -5

Rs.3

None of these.

In the excel formulation for Poisson distribution i-e "POISSON(x,mean,cumulative)", ‘x’ is the

Select correct option:

Expected numeric value

Logical value that determines the form of the probability distribution returned

Number of events over a specific time Right Answer)

Discrete non-random variable

Suppose, you have a bag in which there are one green and one red ball. You take out a ball repeatedly and put it back into the bag, and you count the number of times the green ball comes out. You continue to take out the ball until the green ball comes out 3 times. This experiment shows the case of Negative Binomial  Distribution. Select correct option:

True

What is the probability of at least one head in the experiment of tossing a coin

three times?

Select correct option:

1/7

1/8

8/7

The probability of successes can be less than 0 or greater than 1.

Select correct option:

False

Probability distribution is a set of possible values that a random variable can assume and their associated probabilities of occurrence. Select correct option:

False

In standard normal distribution;

Select correct option:

Mean = 1, Standard Deviation = 0

Mean = 0, Standard Deviation = 1

Mean = 1, Standard Deviation = 1 Right Answer)

Mean = 0, Standard Deviation = 0

For normal distribution the probability of an event is zero if and only if value of ‘z’

Select correct option:

Greater than 3

Less than 3

None of these

For mutually exclusive events A and B

Select correct option:

Probability of A intersection B > 0

Probability of A intersection B < 0

Probability of A intersection B = 0 Right Answer)

None of these

Which of the following formula is correct?

Select correct option:

=BINOMDIST( 7, 4, 0.5, FALSE )

=BINOMDIST( -4, 7, 1.5, FALSE )

=BINOMDIST( 4, -7, 1.5, FALSE ) Right Answer)

=BINOMDIST( 4, 7, 0.5, FALSE )

Probability of sure event is ------

Select correct option:

0

1

15

-1

In the excel formulation for Poisson distribution i-e

"POISSON(x,mean,cumulative)", ‘x’ is the

Select correct option:

Expected numeric value

Logical value that determines the form of the probability distribution returned

Number of events over a specific time Right Answer)

Discrete non-random variable

The probability of successes can be less than 0 or greater than 1.

Select correct option:

True

A pair of fair die is rolled. What will be the probability of “Sum of dots on upper

sides is odd number?

Select correct option:

15/36

10/36

None of these

An automatic production line breaks down every 2 hours.Special production requires uninterrupted operation for 8 hours.What is the probabilty that this can be achieved.

Select correct option:

0.312

0.021

None of these.

Which of the following formula is correct?

Select correct option:

=BINOMDIST( 7, 4, 0.5, FALSE )

=BINOMDIST( -4, 7, 1.5, FALSE )

=BINOMDIST( 4, -7, 1.5, FALSE ) Right Answer)

=BINOMDIST( 4, 7, 0.5, FALSE )

The successive binomial trials are assumed to be

Select correct option:

Dependent

May be independent

None of these

For the Poisson distribution,

Select correct option:

E(X) = μ , Var(X) = μ

E(X) = μ , Var(X) = - μ

E(X) = -μ , Var(X) = μ Right Answer)

E(X) = 0 , Var(X) = 0

Probability distribution is a set of possible values that a random variable can assume and their associated probabilities of occurrence.

Select correct option:

False

The marketing manager of a company receives average10 complaint calls during a week .Suppose that the number of calls during a week follows the Poisson distribution. The probability that she gets five such calls in one day is:

Select correct option:

1-(10^5e^-10)/5!

10C5 * 0.55 * 0.55

1 - 10C5 * 0.55 * 0.55

During a typical football game, a coach can expect 3.2 injuries. Find the probability that the team will have at most 1 injury in this game.We are interested in

Select correct option:

P(X<1 )

P(X=1 )

P(X=0 ) + P(X=1 )

For mutually exclusive events

Select correct option:

P(AUB)=P(A)P(B)

P(AUB)=P(A)/P(B)

P(AUB)=P(A)+P(B)

In binomial distribution, the probability of "success" p

Select correct option:

Vary for each outcome Right Answer)

Remains constant for different outcomes

Remains the same for each outcome

None of these

In the excel formulation for Poisson distribution i-e "POISSON(x,mean,cumulative)", if X<0 then it returns to Select correct option:

TRUE

FALSE

#VALUE!

A fair die is rolled. What will be the probability of even numbers?

Select correct option:

1/6

2/6

None of these

If the mean & standard deviation on an examination are ‘74’ & ‘12’ respectively and the standard scores is ‘z= -1’ then the grade ‘x’ is Select correct option:

-62

887

62

What is not a characteristic of poisson distribution.

Select correct option:

18

Either/or situation.

mean number of successes per unit,m,known and fixed.

p,chance unknown and large Right Answer)

None of these.

Which of the following is applicable to a Poisson Distribution?

Select correct option:

It is used to compute the probability of rare events.

Every event is independent of every other event.

The range for the number of events that could occur is 0,1,2,3, ...

all of given choices. Right Answer)

The successive binomial trials are assumed to be

Select correct option:

Dependent

May be independent

None of these

Which of the following can be best fit for the prediction of the vehicles arriving at

their destination in 2 hours?

Select correct option:

Normal Distribution

Poisson Distribution

Chi-Square Distribution

What is the range of probability of any event?

Select correct option:

-1 to 0

-1 to 1

None of these

A lottery has Rs.100 payout on average 20 turns.What will be expected win per

turn.

Select correct option:

Rs. -5

Rs.3

None of these.

19

The marketing manager of a company receives average10 complaint calls during a week .Suppose that the number of calls during a week follows the Poisson  distribution. The probability that she gets five such calls in one day is:

Select correct option:

1-(10^5e^-10)/5!

10C5 * 0.55 * 0.55

1 - 10C5 * 0.55 * 0.55

A coin is tossed twice. What is the probability of getting head on first toss and tail

on second toss?

Select correct option:

1/3

¼

None of these

A lottery has Rs.100 payout on average 20 turns.What will be expected win per

turn.

Select correct option:

Rs. -5

Rs.3

None of these.

20/100=5

In binomial distribution, each observation represents

Select correct option:

One of two outcomes ("success" or "failure") Right Answer)

Only one outcome ("success")

Only one outcome ("failure")

None of these

An automatic packing machine produces on an average one in 100 underweight bags.What is the probabilty that 500 bags contain less than three underweight bags?

Select correct option:

0.018

0.312

None of these

The correct formula for OR rule is

Select correct option:

P(A or B) (A) P(B)

P(A or B) (A)-P(B)

P (A or B) (A) + P (B)  Right Answer)

None of these

In Binomial distribution, the outcome on one trial ………… the outcome on other

trials.

Select correct option:

Does affect

May affect

None of these

In the excel formulation for Poisson distribution i-e

"POISSON(x,mean,cumulative)", ‘x’ is the

Select correct option:

Expected numeric value

Logical value that determines the form of the probability distribution returned

Number of events over a specific time Right Answer)

Discrete non-random variable

The successive binomial trials are assumed to be

Select correct option:

Dependent

May be independent

None of these

Probability distribution is a set of possible values that a random variable can assume and their associated probabilities of occurrence.

Select correct option:

False

The Excel command “=BINOMDIST( 4, 10, 2, FALSE)” gives an error of #NUM. The reason is that the probability of successes is 2 which is wrong. The probability of successes cannot be greater than 1.

Select correct option:

False

The correct formula for AND rule is

Select correct option:

P(A and B)= P(A) P(B) Right Answer)

P(A and B)= P(A)-P(B)

P(A and B)= P(A) + P(B)

None of these

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